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JEE Advanced Model Paper 13 with solutions for online practice

Paragraph for Question Nos. 57 to 58

Let f(x) =

a√2π

e−

(

x−a

)2 ; - ∞ < x < ∞ . Where a and b are real constants ( - ∞ < a < ∞ , b > 0) and

∞

∫

xα−1ex dx = I (α) with I (

) = √π Now answer thefollowing

Question : 57

Total: 60

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